There are 3 different behaviours for preserving search filters on 3 index pages:

Puppetclasses was fixed to save the search filter after edit if the submit or cancel button is clicked by: https://bugzilla.redhat.com/show_bug.cgi?id=1285013.

Hosts never save the search filter.
The submit on hosts does not go back to the index page so there is no need to save it but the cancel button should probably act the same as in puppetclass.

Hostgroups saves the filter when clicking cancel but not submit.

There should be consistent behaviour in the action the submit/cancel buttons use for all three.